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Finding the Fourth Proportional to 69,210, 103,822.29 and 31,763.70

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Solution

The fourth proportional to 69,210, 103,822.29 and 31,763.70 is: 47,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,210 : 103,822.29 = 31,763.70 : x
  2. Step 2: Convert to fraction form
    69,210/103,822.29 = 31,763.70/x
  3. Step 3: Cross multiply
    69,210x = 103,822.29 × 31,763.70
  4. Step 4: Simplify right side
    69,210x = 3,297,780,072.87
  5. Step 5: Solve for x
    x = 3,297,780,072.87/69,210
  6. Step 6: Final answer
    x = 47,648.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.